Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2020, Number 2, Pages 48–51 (Mi vmumm4317)  
This article is cited in 1 scientific paper (total in 1 paper)

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Analogue of the Hardy–Littlewood criterion for Fourier series over Vilenkin system in the case of unbounded $p_k$

S. M. Voronov

D. Mendeleev University of Chemical Technology of Russia
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Abstract: Series with respect to a system of characters of a zero-dimensional compact commutative group are considered. A generalization of analogue of Hardy–Littlewood test and its consequences, which were earlier obtained in the case of bounded sequence $\{p_k\}$ defining the system, are proved.
Key words: zero-dimensional group, characters of a group, Fourier series, Hardy–Littlewood test, Vilenkin system.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00584
Received: 15.03.2019
English version:
Moscow University Mathematics Bulletin, 2020, Volume 75, Issue 2, Pages 80–82
DOI: https://doi.org/10.3103/S0027132220020060
Bibliographic databases:
Document Type: Article
UDC: 517.518.43
Language: Russian
Citation: S. M. Voronov, “Analogue of the Hardy–Littlewood criterion for Fourier series over Vilenkin system in the case of unbounded $p_k$”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 2, 48–51; Moscow University Mathematics Bulletin, 75:2 (2020), 80–82
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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